Carbon multi-shell cages

Physical Chemistry Chemical Physics

Volumn 16, Issue 11, 2014, Pages 5260-5269

  Diudea, M V ^a   Bende, A ^b   Nagy, C L ^a  

^a BABE BOLYAI UNIVERSITY   (Romania)

^b NATIONAL INSTITUTE FOR RESEARCH AND DEVELOPMENT OF ISOTOPIC AND MOLECULAR TECHNOLOGIES   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84894451305     PISSN: 14639076     EISSN: None     Source Type: Journal    
DOI: 10.1039/c3cp55309d     Document Type: Article

References (109)

1. S. Iijima J. Cryst. Growth 1980 50 675 683
2. D. Ugarte Nature 1992 359 707 709
3. H. Terrones M. Terrones New J. Phys. 2003 5 126.121 126.137
4. H. Terrones M. Terrones J. L. Morán-López Curr. Sci. 2001 81 1011 1029
5. F. Banhart P. M. Ajayan Nature 1996 382 433 435
6. H. Dodziuk, in The Mathematics and Topology of Fullerenes, ed., F. Cataldo, A. Graovac, and, O. Ori, Springer, Netherlands, 2011, vol. 4, pp. 117-151
7. U. Zimmermann N. Malinowski U. Näher S. Frank T. P. Martin Phys. Rev. Lett. 1994 72 3542 3545
8. H. W. Kroto Nature 1987 329 529 531
9. P. W. Fowler and D. E. Manolopoulos, An atlas of fullerenes, Oxford University Press, Oxford, 1995
10. R. Taylor J. Chem. Soc., Perkin Trans. 2 1992 3 4
11. A. Koshio M. Inakuma T. Sugai H. Shinohara J. Am. Chem. Soc. 2000 122 398 399
12. D. Löffler N. Bajales M. Cudaj P. Weis S. Lebedkin A. Bihlmeier D. P. Tew W. Klopper A. Böttcher M. M. Kappes J. Chem. Phys. 2009 130 164705
13. D. Löffler S. Ulas S. S. Jester P. Weis A. Böttcher M. M. Kappes Phys. Chem. Chem. Phys. 2010 12 10671 10684
14. Y. Z. Tan S. Y. Xie R. B. Huang L. S. Zheng Nat. Chem. 2009 1 450 460
15. S. Y. Xie F. Gao X. Lu R. B. Huang C. R. Wang X. Zhang M. L. Liu S. L. Deng L. S. Zheng Science 2004 304 699
16. P. A. Troshin A. G. Avent A. D. Darwish N. Martsinovich A. K. Abdul-Sada J. M. Street R. Taylor Science 2005 309 278 281
17. C. R. Wang Z. Q. Shi L. J. Wan X. Lu L. Dunsch C. Y. Shu Y. L. Tang H. Shinohara J. Am. Chem. Soc. 2006 128 6605 6610
18. C. R. Wang T. Kai T. Tomiyama T. Yoshida Y. Kobayashi E. Nishibori M. Takata M. Sakata H. Shinohara Nature 2000 408 426 427
19. X. Gao Y. Zhao J. Comput. Chem. 2007 28 795 801
20. X. Lu Z. Chen W. Thiel P. v. R. Schleyer R. Huang L. Zheng J. Am. Chem. Soc. 2004 126 14871 14878
21. Q. B. Yan Q. R. Zheng G. Su Carbon 2007 45 1821 1827
22. A. Böttcher P. Weis A. Bihlmeier M. M. Kappes Phys. Chem. Chem. Phys. 2004 6 5213 5217
23. A. Böttcher P. Weis S. S. Jester D. Löffler A. Bihlmeier W. Klopper M. M. Kappes Phys. Chem. Chem. Phys. 2005 7 2816 2820
24. G. Maier S. Pfriem U. Schäfer R. Matusch Angew. Chem. 1978 17 520 521
25. P. E. Eaton T. W. Cole Jr J. Am. Chem. Soc. 1964 86 962 964
26. P. E. Eaton T. W. Cole Jr J. Am. Chem. Soc. 1964 86 3157 3158
27. E. B. Fleischer J. Am. Chem. Soc. 1964 86 3889 3890
28. A. M. Astakhov R. S. Stepanov A. Y. Babushkin Combust., Explos. Shock Waves 1998 34 85 87
29. P. E. Eaton Angew. Chem. 1992 31 1421 1436
30. C. P. Vlahacos J. O. Jensen THEOCHEM 1996 362 225 234
31. P. Liu H. Cui G. W. Yang Cryst. Growth Des. 2008 8 581 586
32. P. E. Eaton Tetrahedron 1979 35 2189 2223
33. W.-D. Fessner B. A. R. C. Murty H. Prinzbach Angew. Chem. 1987 26 451 452
34. W.-D. Fessner B. A. R. C. Murty J. Wörth D. Hunkler H. Fritz H. Prinzbach W. D. Roth P. v. R. Schleyer A. B. McEwen W. F. Maier Angew. Chem. 1987 26 452 454
35. L. A. Paquette D. W. Balogh R. Usha D. Kountz G. G. Christoph Science 1981 211 575 576
36. S. Okada Y. Miyamoto M. Saito Phys. Rev. B: Condens. Matter Mater. Phys. 2001 64 2454051 2454054
37. H. Prinzbach F. Wahl A. Weiler P. Landenberger J. Wörth L. T. Scott M. Gelmont D. Olevano F. Sommer B. Von Issendorff Chem.-Eur. J. 2006 12 6268 6280
38. H. Prinzbach A. Weller P. Landenberger F. Wahl J. Wörth L. T. Scott M. Gelmont D. Olevano B. V. Issendorff Nature 2000 407 60 63
39. M. Saito Y. Miyamoto Phys. Rev. Lett. 2001 87 355031 355034
40. F. Wahl A. Weiler P. Landenberger E. Sackers T. Voss A. Haas M. Lieb D. Hunkler J. Worth L. Knothe H. Prinzbach Chem.-Eur. J. 2006 12 6255 6267
41. L. Schläfli, Theorie der vielfachen Kontinuität, Zürcher und Furrer, Zürich, 1901
42. M. V. Diudea, Nanostructures: Novel Architecture, NOVA, New York, 2005
43. M. V. Diudea and C. L. Nagy, Periodic Nanostructures, Springer, Dordrecht, 2007
44. M. V. Diudea, Nanomolecules and Nanostructures: Polynomials and Indices, Univ. Kragujevac, Serbia, 2010
45. T. Lenosky X. Gonze M. Teter V. Elser Nature 1992 355 333 335
46. A. L. Mackay H. Terrones Nature 1991 352 762
47. H. A. Schwarz, Über Minimalflächen, Monatsber. Berlin Akad., Berlin, 1865
48. H. A. Schwarz, Gesammelte Matematische Abhandlungen, Springer, Berlin, 1890
49. G. Benedek H. Vahedi-Tafreshi E. Barborini P. Piseri P. Milani C. Ducati J. Robertson Diamond Relat. Mater. 2003 12 768 773
50. X. Blase, G. Benedek and M. Bernasconi, in Computer-Based Modeling of Novel Carbon Systems and Their Properties, ed., L. Colombo, and, A. Fasolino, Springer, Netherlands, 2010, ch. 6, vol. 3, pp. 171-206
51. C. Baerlocher, L. B. McCusker and D. H. Olson, Atlas of Zeolite Framework Types, Elsevier Science, Amsterdam, 6th edn, 2007
52. S. T. Hyde and S. Ramsden, in Discrete Mathematical Chemistry, ed., P. Hansen, P. W. Fowler, and, M. Zheng, Amer. Math. Soc., Providence, 2000, pp. 203-224
53. M. O'Keeffe and B. G. Hyde, Crystal Structures I. Patterns and Symmetry, Bookcrafters, Inc., Chelsea, MI, 1996
54. O. Bonnet C. R. Acad. Sci. Paris 1853 37 529 532
55. L. Euler Novi. Comm. Acad. Sci. Imp. Petrop. 1758 4 109 160
56. F. Harary, Graph Theory, Addison-Wesley, Reading, MA, 1969
57. M. V. Diudea B. Szefler Phys. Chem. Chem. Phys. 2012 14 8111 8115
58. M. Diudea and B. Szefler, in Topological Modelling of Nanostructures and Extended Systems, ed., A. R. Ashrafi, F. Cataldo, A. Iranmanesh, and, O. Ori, Springer, Netherlands, 2013, vol. 7, pp. 245-264
59. M. V. Diudea M. Petitjean Symmetry Cult. Sci. 2008 19 285 305
60. B. Szefler and M. Diudea, in Diamond and Related Nanostructures, ed., M. V. Diudea, and, C. L. Nagy, Springer Netherlands, 2013, vol. 6, pp. 229-249
61. M. V. Diudea Stud. Univ. Babes-Bolyai, Chem. 2003 48 3 16
62. M. V. Diudea Forma 2004 19 131 163
63. M. V. Diudea J. Chem. Inf. Model. 2005 45 1002 1009
64. M. V. Diudea, in Nanostructures: Novel Architecture, ed., M. V. Diudea, NOVA, New York, 2005, pp. 203-242
65. M. V. Diudea M. Stefu P. E. John A. Graovacc Croat. Chem. Acta 2006 79 355 362
66. M. V. Diudea P. E. John MATCH 2001 44 103 116
67. V. Eberhard, Zur Morphologie der Polyeder, B. G. Teubner, Leipzig, 1891
68. P. W. Fowler Chem. Phys. Lett. 1986 131 444 450
69. M. Goldberg Tohoku Math. J. 1937 43 104 108
70. T. Pisanski and M. Randić, in Geometry at Work: A Collection of Papers Showing Applications of Geometry, ed., C. A. Gorini, Math. Assoc. Amer., Washington, DC, 2000, pp. 174-194
71. N. G. deBruijn Nederl. Acad. Wetensch. Proc. Ser. A 1981 84 39 66
72. P. Kramer Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Cryst. 1982 38 257 264
73. P. Bak Phys. Rev. Lett. 1986 56 861 864
74. J. E. S. Socolar P. J. Steinhardt D. Levine Phys. Rev. B: Condens. Matter Mater. Phys. 1985 32 5547 5550
75. M. Diudea, in Diamond and Related Nanostructures, ed., M. V. Diudea, and, C. L. Nagy, Springer, Netherlands, 2013, vol. 6, pp. 335-385
76. M. V. Diudea, in Research horizons of nanosystems: structure, properties and interactions, ed., M. V. Putz, CRC Pres, 2013, in press
77. T. C. Hales Ann. Math. 2005 162 1065 1185
78. B. Grünbaum, Convex polytopes, Wiley, New York, 1967
79. H. S. M. Coxeter, Regular polytopes, Dover Publications, New York, 3rd edn, 1973
80. A. F. Wells, Three-Dimensional Nets and Polyhedra, Wiley & Sons, New York, 1977
81. G. M. Ziegler, Lectures on Polytopes, Springer-Verlag, New York, 1995
82. F. C. Frank J. S. Kasper Acta Crystallogr. 1958 11 184 190
83. A. Haji-Akbari M. Engel A. S. Keys X. Zheng R. G. Petschek P. Palffy-Muhoray S. C. Glotzer Nature 2009 462 773 777
84. R. Dandoloff G. Döhler H. Bilz J. Non-Cryst. Solids 1980 35-36 537 542
85. V. Shevchenko, Search in chemistry, biology and physics of the nanostate, Lema, St Petersburg, 2011
86. L. Zeger E. Kaxiras Phys. Rev. Lett. 1993 70 2920 2923
87. A. Mackay Acta Crystallogr. 1962 15 916 918
88. H. S. M. Coxeter Illinois J. Math. 1958 2 746 758
89. H. S. M. Coxeter, Introduction to Geometry, Wiley, New York, 1961, pp. 405-411
90. M. Goldberg Math. Mag. 1971 44 199 208
91. T. C. Hales J. Comput. Appl. Math. 1992 44 41 76
92. T. C. Hales Discrete Comput. Geom. 2006 36 5 20
93. A. Bende and M. Diudea, in Diamond and Related Nanostructures, ed., M. V. Diudea, and, C. L. Nagy, Springer, Netherlands, 2013, vol. 6, pp. 107-119
94. R. B. Woodward T. Fukunaga R. C. Kelly J. Am. Chem. Soc. 1964 86 3162 3164
95. M. V. Diudea C. L. Nagy Diamond Relat. Mater. 2012 23 105 108
96. B. Aradi B. Hourahine T. Frauenheim J. Phys. Chem. A 2007 111 5678 5684
97. A. Müller S. Roy Coord. Chem. Rev. 2003 245 153 166
98. W. B. Pearson, The crystal chemistry and physics of metals and alloys, Wiley, New York, 1972
99. J. H. Conway S. Torquato Proc. Natl. Acad. Sci. U. S. A. 2006 103 10612 10617
100. Y. Kallus, V. Elser and S. Gravel, arXiv:09105226, 2009
101. C. Belin M. Tillard-Charbonnel Coord. Chem. Rev. 1998 178-180 Part 1 529 564
102. S. Samson Acta Crystallogr., Sect. B: Struct. Crystallogr. Cryst. Chem. 1972 28 936 945
103. J. Breza M. Kadlečíková M. Vojs M. Michalka M. Veselý T. DaniŠ Microelectron. J. 2004 35 709 712
104. M. Elstner D. Porezag G. Jungnickel J. Elsner M. Haugk T. Frauenheim S. Suhai G. Seifert Phys. Rev. B: Condens. Matter Mater. Phys. 1998 58 7260 7268
105. M. Elstner P. Hobza T. Frauenheim S. Suhai E. Kaxiras J. Chem. Phys. 2001 114 5149 5155
106. M. Elstner K. J. Jalkanen M. Knapp-Mohammady T. Frauenheim S. Suhai Chem. Phys. 2000 256 15 27
107. M. Elstner K. J. Jalkanen M. Knapp-Mohammady T. Frauenheim S. Suhai Chem. Phys. 2001 263 203 219
108. M. Stefu and M. V. Diudea, CageVersatile CVNet, Babes-Bolyai Univ., Cluj, 2005
109. C. L. Nagy and M. V. Diudea, NANO Studio Software, Babes-Bolyai Univ., Cluj, 2009